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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
746496.bg.1a $1$ R \(\Q\) 746496.bg.1a $(C_2^3\times C_6^3).C_6^2:D_6$ $C_1$ $1$ not computed $746496$ not computed
746496.bg.1b $1$ R \(\Q\) 746496.bg.1b $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2$ $2$ not computed $373248$ not computed
746496.bg.1c $1$ R \(\Q\) 746496.bg.1c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2$ $2$ not computed $373248$ not computed
746496.bg.1d $1$ R \(\Q\) 746496.bg.1d $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2$ $2$ not computed $373248$ not computed
746496.bg.2a $2$ R \(\Q\) 746496.bg.2a $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3$ $6$ not computed $124416$ not computed
746496.bg.2b $2$ R \(\Q\) 746496.bg.2b $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3$ $6$ not computed $124416$ not computed
746496.bg.2c $2$ R \(\Q\) 746496.bg.2c $(C_2^3\times C_6^3).C_6^2:D_6$ $D_6$ $12$ not computed $62208$ not computed
746496.bg.2d $2$ R \(\Q\) 746496.bg.2d $(C_2^3\times C_6^3).C_6^2:D_6$ $D_6$ $12$ not computed $62208$ not computed
746496.bg.3a $3$ R \(\Q\) 746496.bg.3a $(C_2^3\times C_6^3).C_6^2:D_6$ $S_4$ $24$ not computed $31104$ not computed
746496.bg.3b $3$ R \(\Q\) 746496.bg.3b $(C_2^3\times C_6^3).C_6^2:D_6$ $S_4$ $24$ not computed $31104$ not computed
746496.bg.3c $3$ R \(\Q\) 746496.bg.3c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times S_4$ $48$ not computed $15552$ not computed
746496.bg.3d $3$ R \(\Q\) 746496.bg.3d $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times S_4$ $48$ not computed $15552$ not computed
746496.bg.4a $4$ R \(\Q\) 746496.bg.4a $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3^2$ $36$ not computed $20736$ not computed
746496.bg.4b1 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4b $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.4b2 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4b $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.4c1 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.4c2 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.4d1 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4d $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.4d2 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4d $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.4e1 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4e $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.4e2 $4$ C \(\Q(\sqrt{-3}) \) 746496.bg.4e $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.6a $6$ R \(\Q\) 746496.bg.6a $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^2:D_6$ $108$ not computed $6912$ not computed
746496.bg.6b $6$ R \(\Q\) 746496.bg.6b $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.6c $6$ R \(\Q\) 746496.bg.6c $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3\times S_4$ $144$ not computed $5184$ not computed
746496.bg.6d $6$ R \(\Q\) 746496.bg.6d $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^2:D_6$ $108$ not computed $6912$ not computed
746496.bg.6e $6$ R \(\Q\) 746496.bg.6e $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3\times S_4$ $144$ not computed $5184$ not computed
746496.bg.6f $6$ R \(\Q\) 746496.bg.6f $(C_2^3\times C_6^3).C_6^2:D_6$ $C_6^2:D_6$ $432$ not computed $1728$ not computed
746496.bg.6g $6$ R \(\Q\) 746496.bg.6g $(C_2^3\times C_6^3).C_6^2:D_6$ $C_6^2:D_6$ $432$ not computed $1728$ not computed
746496.bg.6h $6$ R \(\Q\) 746496.bg.6h $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.6i $6$ R \(\Q\) 746496.bg.6i $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.6j $6$ R \(\Q\) 746496.bg.6j $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.6k1 $6$ C \(\Q(\sqrt{-3}) \) 746496.bg.6k $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.6k2 $6$ C \(\Q(\sqrt{-3}) \) 746496.bg.6k $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.6l1 $6$ C \(\Q(\sqrt{-3}) \) 746496.bg.6l $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.6l2 $6$ C \(\Q(\sqrt{-3}) \) 746496.bg.6l $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.8a1 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8a $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.8a2 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8a $(C_2^3\times C_6^3).C_6^2:D_6$ $C_3^3:S_4$ $648$ not computed $1152$ not computed
746496.bg.8b1 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8b $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3\times C_3^3:S_4$ $3888$ not computed $192$ not computed
746496.bg.8b2 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8b $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3\times C_3^3:S_4$ $3888$ not computed $192$ not computed
746496.bg.8c1 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.8c2 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2\times C_3^3:S_4$ $1296$ not computed $576$ not computed
746496.bg.8d1 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8d $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3\times C_3^3:S_4$ $3888$ not computed $192$ not computed
746496.bg.8d2 $8$ C \(\Q(\sqrt{-3}) \) 746496.bg.8d $(C_2^3\times C_6^3).C_6^2:D_6$ $S_3\times C_3^3:S_4$ $3888$ not computed $192$ not computed
746496.bg.9a $9$ R \(\Q\) 746496.bg.9a $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
746496.bg.9b $9$ R \(\Q\) 746496.bg.9b $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
746496.bg.9c $9$ R \(\Q\) 746496.bg.9c $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
746496.bg.9d $9$ R \(\Q\) 746496.bg.9d $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
746496.bg.9e $9$ R \(\Q\) 746496.bg.9e $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
746496.bg.9f $9$ R \(\Q\) 746496.bg.9f $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
746496.bg.9g $9$ R \(\Q\) 746496.bg.9g $(C_2^3\times C_6^3).C_6^2:D_6$ $C_2^2:A_4^2:D_6$ $6912$ not computed $108$ not computed
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